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18956946460 = 2254321094703
BaseRepresentation
bin10001101001111011…
…000000110000011100
31210221010211122210011
4101221323000300130
5302310434241320
612413025053004
71240525246324
oct215173006034
953833748704
1018956946460
11804877a501
123810787164
131a315750aa
14cbb96c284
1575e3d305a
hex469ec0c1c

18956946460 has 72 divisors (see below), whose sum is σ = 41139584640. Its totient is φ = 7336925568.

The previous prime is 18956946457. The next prime is 18956946467. The reversal of 18956946460 is 6464965981.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 18956946395 and 18956946404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18956946467) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4028469 + ... + 4033171.

It is an arithmetic number, because the mean of its divisors is an integer number (571383120).

Almost surely, 218956946460 is an apocalyptic number.

18956946460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18956946460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20569792320).

18956946460 is an abundant number, since it is smaller than the sum of its proper divisors (22182638180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18956946460 is a wasteful number, since it uses less digits than its factorization.

18956946460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4907 (or 4862 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 58.

The spelling of 18956946460 in words is "eighteen billion, nine hundred fifty-six million, nine hundred forty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 43 86 109 172 215 218 430 436 545 860 1090 1849 2180 3698 4687 4703 7396 9245 9374 9406 18490 18748 18812 23435 23515 36980 46870 47030 93740 94060 201541 202229 403082 404458 512627 806164 808916 1007705 1011145 1025254 2015410 2022290 2050508 2563135 4030820 4044580 5126270 8695847 10252540 17391694 22042961 34783388 43479235 44085922 86958470 88171844 110214805 173916940 220429610 440859220 947847323 1895694646 3791389292 4739236615 9478473230 18956946460